Perturbation to Noether Symmetry and Adiabatic Invariants for Dynamical Systems with Nonstandard Lagrangians

被引：1

作者：

王雪萍 ^{[1
]}

张毅 ^{[2
]}

机构：

[1] College of Mathematics and Physics,Suzhou University of Science and Technology

[2] College of Civil Engineering,Suzhou University of Science and Technology

来源：

JournalofDonghuaUniversity(EnglishEdition) | 2018年 / 35卷 / 01期

关键词：

nonstandard Lagrangians; Noether symmetry; perturbation; adiabatic invariants;

D O I：

10.19884/j.1672-5220.2018.01.005

中图分类号：

O19 [动力系统理论];

学科分类号：

070104 ; 0711 ; 071101 ;

摘要：

The perturbation to Noether symmetry and adiabatic invariants for dynamical systems with nonstandard Lagrangians are studied. Based on two kinds of nonstandard Lagrangians( i. e.exponential Lagrangians and power-law Lagrangians),the exact invariants of Noether type are given. Based on the definition of highorder adiabatic invariants,the relationship between the perturbation of Noether symmetry and the adiabatic invariants of the system under a small disturbance is studied,and then the corresponding theorems of adiabatic invariants are established. Finally, two examples are given to illustrate the methods and results appear in this paper.

引用

页码：24 / 27

页数：4

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